Nathan buys coffee and hot chocolate for his co-workers. Each cup of coffee costs $1.75 and each cup of hot chocolate costs $1.00. If he pays a total of $14.50 for 10 cups, how many of each does he buy?
Answer:
6 cups of coffee
4 cups of hot chocolate
Step-by-step explanation:
x=number of cups of coffee
y=number of cups of hot chocolate
1.75x+1y=14.5
x+y=10 y=10-x
substitute for y
1.75x+10-x=14.5
0.75x=4.5
x=6
y=10-6=4
does anyone know the answer
Answer:
(1,2)
Step-by-step explanation:
easy lol
brainliest??
What are you trying to find?
Answer: (1,2)
2 + 1 = 3
2 - 1 = 1
I need a real and explained answer.
Multiple Choice
A car travels 172 miles using 7 gallons of gas. At that rate, how far can the car travel using 42 gallons of gas?
A. 1,032 miles
B. 1,548 miles
C. 1,204 miles
D. 1,376 miles
Express 432 as a product of powers of its prime factors.
We can see easily this is an even number, so let's first divide by 2.
432=2*216
We can see the remaining 216 is still even so we continue.
432=2*2*108
And continue
432=2*2*2*54
and continue
432=2*2*2*2*27
Now we can see that 27 is a multiple of 3 in fact its 3^3.
So we can conclude that 432=[tex]2^4*3^3[/tex]
the exponent form of 3 root 7
Answer:
The exponent form of 3 root 7 is 7.94
18 increased by twice a number
Answer:
18+2x
Step-by-step explanation:
Let the number be x.
Translate: 2x + 18 = x - 4.
Subtract x from each side: x + 18 = -4.
Subtract 18: x = -22.
Check: 2(-22) + 18 = -44 + 18 = -26; -22 - 4 = -26.
8 increased by twice a number = 18+2x
What is a linear equation?A linear equation has one or two variables.
No variable in a linear equation is raised to a power greater than 1.No variable is used as the denominator of a fraction. A linear equation is defined as an equation that is written in the form of ax+by=c. When solving the system of linear equations, we will get the values of the variable, which is called the solution of a linear equation.solving this we will get the valve of Y if x is given.
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PLEASE HELP ITS DUE SOON
Yo can somebody help??
1/4
I hope this helped! please mark brainliest and vote 5 stars >:)
it is 1/4 because the patten is minus 1
a number plus 6 is greater than 1
Answer:
x>-5
Step-by-step explanation:
First, you have to write the equation: x+6>1
Then you just subtract 6 on both sides: x>-5
The cost of every college is expected to increase 3.5%
next year.
The cost to attend Faber College is currently $24000.
If the percentage increase stays constant, what will the
cost be in TWO years?
Answer:
25,709.4
Step-by-step explanation:
First you would multiply 3.5 x 24,000, and then divide by 100, to get 840, and then add that to the original amount to get 24,840, and that is the cost for one year. And then you would multiply 24,840 by 3.5 and then divide by 100 to get 869.4. Finally just add that to 24,840 to get 25,709.4, and that is the cost for 2 years. I hope this helps :)
The cost of college in two years is $25709.4.
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
Example:
50% = 50/100 = 1/2
25% = 25/100 = 1/4
20% = 20/100 = 1/5
10% = 10/100 = 1/10
We have,
Cost of Faber college = $24000
Rate of increase = 3.5%
The cost of college after one year.
= 103.5% of 24,000
= 103.5/100 x 24000
= $24,840
The cost of their college after two years.
= 103.5% of 24,000
= 103.5/100 x 24,840
= $25709.4
Thus,
The cost of college in two years is $25709.4.
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The first step to solve the equation StartFraction x over 4 EndFraction minus three-fourths = 16 is shown below. StartFraction x over 4 EndFraction minus three-fourths + three-fourths = 16 + three-fourths Which property was applied in this step?
Answer:
Addition property of equality
Step-by-step explanation:
The given expression is :
[tex]\dfrac{x}{4}-\dfrac{3}{4}=16[/tex]
We need to find the first step to solve this expression.
For this, we add 3/4 to both sides of the equation i.e.
[tex]\dfrac{x}{4}-\dfrac{3}{4}+\dfrac{3}{4}=16+\dfrac{3}{4}\\\\\dfrac{x}{4}=16+\dfrac{3}{4}[/tex]
So, we have used the addition property of equality.
I have to find slope-intercept equation
Answer:
y = 4x - 9
Step-by-step explanation:
y = mx + b
m = slope
b = y-intercept
the y-intercept is when the line crosses the y axis, and in this case we can see it at "-9"
The slope we can do rise over run "r/r" ot "y/x"
r/r = 4/1 = 4
The line is positive since its going up
y = 4x - 9
Hope this helped!
Have a supercalifragilisticexpialidocious day!
I need help pls
What is angle 3
Answer:
Step-by-step explanation:
4x + 6 + 3x + 21 = 8x + 7
7x + 27 = 8x + 7
-x + 27 = 7
-x = -20
x = 20
m<3= 8(20) + 7
160 + 7 = 167
m<1= 4(20) + 6 = 80 + 6 = 86
m<2= 3(20) + 21 = 60 + 21 = 81
The number of people who voted for the Green Party in an election was 1500
The number of people who voted for the Blue Party was 9000.
Write the ratio of Green Party voters to Blue Party voters in its simplest form
Answer:
1:6
Step-by-step explanation:
1500:9000
=150:900 (divide by ten)
=15:90 (divide by ten)
= 1:6. (divide each number by 15)
which number has a square root between 3 and 4
Answer:
12.25 is one possible number but any number between 9 and 16 works (although the square root may not always be a whole number)
Step-by-step explanation:
A number between 3 and 4 is 3.5.
3.5² = 12.25
Appreciate it if someone could answer and explain. I’ll give brainliest. Thanks :)
Answer:
47 . 9 cm
Step-by-step explanation:
c = 22cm
22 pie ( their is no pie symbol on my so I said pie ) / 360
X = 8.25 pie cm
p = 22 + 8.25 pie
47.9 cm
WE SCORED 17/22 on the test BOIS LES GOOOOOOOOOOOOOO TY FOR EVERYONE THTA HELPED YSTERDAY!!
Answer:
Good job
Step-by-step explanation:
HELP NEED THIS NOW
A laptop has a listed price of $804.99 before tax. If the sales tax rate is 7.75%, find the total cost of the laptop with sales tax included.
Round your answer to the nearest cent, as necessary.
Answer:
$867.37Step-by-step explanation:
tax rate = 7.75%sale prize = $804.99tax = (804.99 × 7.75) / 100 = 62.38amount with tax = $804.99 + $62.38 = $867.37MARK ME AS BRAINLIST0.8 divided by 62 please help asap pls
Answer:
77.5
Step-by-step explanation:
Answer:
77.5
Step-by-step explanation:
1. Elijah's puppy weighs 35 ounces. If he weighed 20 ounces at the last visit to the veterinarian's office, what is the percent increase in the
puppy's weight?
The percent increase is type your answer...
Answer:
75 percent
Step-by-step explanation:
percent increase = increase/original ×100
= (35-20)/20 ×100 =15/20 ×100= 15×5= 75
If it takes a person 2 hours to drive 100 km, how fast (what speed) were they driving?
Answer: 50km/hour
Step-by-step explanation:
Answer:
50 km an hour
Step-by-step explanation:
if the person is traveling 100 km an hour, we can divide the distance by the time, to find out how fast they were traveling
100 divided by 2 = 50
the person was traveling 50 km an hour
Find the product (4x -3y)^3
Answer:
babooshka
Step-by-step explanation:
Sophia is paid $12 per hour to babysit. Which equation represents how much money Sophia earns, d, when she babysits for h hours?
Answer:
D=12h
Step-by-step explanation:
If I was doing -3n - 24
I wanna cry Joseph pls answer this
I ain't Joseph but what's wrong?
Five friends share 3 pizzas equally.How much pizza does each friend get?
Answer:
Each friend gets 3 slices each.
Step-by-step explanation:
2/3 times what equals 3
Answer:
Should be 5 or 6
Step-by-step explanation:
What is the x value in the follow system?
3x - y = 7
2x + y = 3
Answer:
x=2
Step-by-step explanation:
Solve this problem, and identify the percent, amount, and base.
What percent of 60 is 45?
The percentage is 75%, the amount is 45 and the base is 60 so option (D) will be correct.
What is the percentage?The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.
The percentage is also called the indicating hundredths. Thus, 2% is two-hundredth, which means 2%=2/100=0.02.
The percentage is just like the amount of that value but between 1 to 100 and it is very useful to predict for example if you say 678 then we have to know about the full number also but if you say 80% then it becomes clear.
Given that 45 is some percentage of 60
So, 60 will be the base because we are calculating the percentage of it and the amount will be 45.
Let's say 45 is x percentage of 60
Then,
60 × x/100 = 45
x = 4500/60
x = 75%
Percentage will be 75
Hence "The percentage is 75%, the amount is 45 and the base is 60".
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